The complete symmetry group of the generalised hyperladder problem |
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Authors: | K Andriopoulos |
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Institution: | Research Group for Mathematical Physics, Department of Information and Communication Systems Engineering, University of the Aegean, 83 200 Karlovassi, Greece |
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Abstract: | We further consider the n-dimensional ladder system, that is the homogeneous quadratic system of first-order differential equations of the form , i=1,n, where (aij)=(i+1−j), i,j=1,n introduced by Imai and Hirata (nlin.SI/0212007). We establish the most general system of first-order ordinary differential equations invariant under the algebra which characterises the ladder system of Imai and Hirata and the algebra of minimal dimension required to specify completely this most general system. We provide the complete symmetry group of the generalised hyperladder system and discuss its integrability. |
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